Least Common Multiple of 3961/704, 9509/4912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3961/704, 9509/4912 quickly i.e. 37665149/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3961/704, 9509/4912 is 37665149/16.

LCM(3961/704, 9509/4912) = 37665149/16

LCM of 3961/704, 9509/4912

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3961/704,9509/4912

Given numbers are 3961/704,9509/4912

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3961,9509

Least Common Multiple of Numerators i.e. LCM of 3961,9509 is 37665149.

GCF of Denominators means GCF of 704,4912 as per the given fractions.

GCF of 704,4912 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3961,9509

LCM of Fractions 3961/704,9509/4912 is 37665149/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 37665149

Least Common Multiple of 3961,9509 with GCF Formula

Least Common Multiple of 3961,9509 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3961,9509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3961,9509) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3961,9509) x common factors =1 x 1 = 1

LCM(3961,9509) = ( 3961 × 9509 ) / 1

LCM(3961,9509) = 37665149 / 1

LCM(3961,9509) = 37665149


Lets's calculate GCF of 704,4912

2 704, 4912
2 352, 2456
2 176, 1228
2 88, 614
44, 307

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37665149/16

Therefore the LCM of Fractions 3961/704,9509/4912 is 37665149/16

Greatest Common Factor of 704,4912 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,4912 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 4912

List of positive integer factors of 4912 that divides 4912 without a remainder.

1,2,4,8,16,307,614,1228,2456,4912

Greatest Common Factor

We found the factors 704,4912 . The biggest common factor number is the GCF number.
So the greatest common factor 704,4912 is 16.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3961/704, 9509/4912

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3961/704, 9509/4912?

Answer: LCM of Numerators as per given numbers 3961/704, 9509/4912 is

LCM of Numerators i.e. for 3961,9509 is 37665149

GCF of denominators i.e. for 704,4912 is 16.

Thus, LCM of Fractions is 37665149/16.Finally, LCM of Fractions for 3961/704, 9509/4912 is 37665149/16.